Shortcuts to adiabaticity for non-Hermitian systems

TL;DR

This paper extends inverse engineering techniques to non-Hermitian, time-dependent Hamiltonians, enabling faster adiabatic processes with applications to quantum and classical systems.

Contribution

It generalizes inverse engineering methods for non-Hermitian systems, providing theoretical foundations and examples for accelerated adiabatic processes.

Findings

Accelerated rapid adiabatic passage with decay

Faster dynamics of classical particles in expanding oscillators

Theoretical framework for non-Hermitian shortcuts

Abstract

Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic theory and examples described by two-level Hamiltonians: the acceleration of rapid adiabatic passage with a decaying excited level and of the dynamics of a classical particle on an expanding harmonic oscillator.